A man is watching from the top of a t...

A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of `45o` with the mans eye when at a distance of 60 metres from the tower. After 5 seconds, the angle of depression becomes `30o` . What is the approximate speed of the boat, assuming that it is running in still water? (a) 32 kmph (b) 36 kmph (c) 38 kmph (d) 40 kmph (d) 42 kmph

Text Solution

AI Generated Solution

Topper's Solved these Questions

HCF AND LCM OF NUMBERS
RS AGGARWAL|Exercise All Questions|159 Videos
LINE GRAPH
RS AGGARWAL|Exercise All Questions|28 Videos

Similar Questions

Explore conceptually related problems

A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45° with the man's eye when at a distance of 60 m from the bottom of tower. After 5 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat assuming that it is running in still water ?

A boat is moving away from an observation tower .It makes an angle of depression of 30^(@) with an observer 's eye when at a distance of 50 metre from the tower . After 8 seconds ,the angle of depression becomes 60^(@) .By as - suming that it is running in still water , the approximate speed of the boat is :

The angle of depression of a point situated at a distance of 70 metres from the base of a tower is 45^@ . The height of the tower is

If the angle of depression of an object from a 75 m high tower is 30^@ , then the distance of the object from the tower is

A man from the top of a 100 m high tower sees a car moving towards the tower at an angle of depression 30°. After some time, the angle of depression becomes 60°. What is the distance travelled by the car during this time ?

The angle of depression of a point from the top of a 200 m high tower is 45^@ . The distance of the point from the tower is

From the top of a lighthouse 120m above the sea, the angle of depression of a boat is 15^(@) . What is the distance of the boat from the lighthouse?

A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30o with the mans eye. The man walks some distance towards the tower to watch its top and the angle of elevation becomes 60o . What is the distance between the base of the tower and the point P ? 4sqrt(3) units (b) 8 units (c) 12 units (d) Data inadequate

From the top of a 7m high building,the angle of elevation of the top of a tower is 60 and the angle of depression of the foot of the tower is 30. Find the height of the tower.

From the top of a lighthouse 120 m above the sea, the angle of depression of a boat is 15^(@). what is the distance of the boat from the lighthouse?

RS AGGARWAL-HEIGHTS AND DISTANCES-All Questions

A man on the top of a tower, standing on the seashore, finds that a...
Text Solution
|
There are two temples, one on each bank of a river, just opposite t...
Text Solution
|
The angle of elevation of the sun, when the height of the pole is sqrt...
Text Solution
|
From a point P on a level ground, the angle of elevation of the ...
Text Solution
|
The angle of elevation of a ladder leaning against a wall is 60o an...
Text Solution
|
An observer 1.6 m tall is 20sqrt(3) m away from a tower. The angle ...
Text Solution
|
Two ships are sailing in the sea on the two sides of a lighthouse. ...
Text Solution
|
A man standing at a point P is watching the top of a tower, whic...
Text Solution
|
The angle of elevation of the top of a tower from a certain point i...
Text Solution
|
A man is watching from the top of a tower a boat speeding away from...
Text Solution
|
On the same side of a tower, two objects are located. When observed...
Text Solution
|
A man on the top of a vertical tower observes a car moving at a unifor...
Text Solution
|
The top of a 15 metre high tower makes an angle of elevation of 60^0...
Text Solution
|
The angle of depression of a point situated at a distance of 70m from ...
Text Solution
|
T F is a tower with F on the ground. The angle of elevation of T fr...
Text Solution
|
A boy is standing at the top of the tower and another boy is at the...
Text Solution
|
The angles of elevation of the top of a tower from two points P and...
Text Solution
|
If the angle of elevation of a cloud from a point 200 m above a lak...
Text Solution
|
From the top of a tower, the angles of depression of two objects P ...
Text Solution
|
If a 30 m ladder is placed against a 15 m wall such that it just re...
Text Solution
|